document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165183>Question 165183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 36.) Show a complete solution to the problem.\r<BR>\n" );
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document.write( "Two positive numbers differ by 11, and their square roots differ by 1. Find the numers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121781 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x^2=larger number and y^2=smaller number __ x^2=y^2+11\r<BR>\n" );
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document.write( "x=y+1\r<BR>\n" );
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document.write( "substituting __ (y+1)^2=y^2+11 __ y^2+2y+1=y^2+11 __ 2y=10 __ y=5 __ y^2=25\r<BR>\n" );
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document.write( "substituting __ x^2=(25)+11 __ x^2=36 </SPAN>\n" );
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